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Open access Journal SINTA 3

PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 18 No. 3 (2024) · pp. 2029–2034

DOI
10.30598/barekengvol18iss3pp2029-2034
ISSN
2615-3017, 1978-7227
Published
2024-08-02
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

A min-plus algebra is a set, where is the set of all real numbers equipped with two binary operations, namely minimum and addition. Every square matrix in min-plus algebra can always be calculated as a permanent and dominant matrix. The min-plus algebra can be extended to an interval min-plus algebra, where the elements are closed intervals denoted with two binary operations, minimum and addition. Min-plus interval algebra can be defined in a square matrix. This research will discuss the permanent and dominant a matrix over min-plus interval algebra, the relationship between permanent and dominant matrix, and bideterminant matrix over min-plus interval algebra. From the research results obtained, permanent and dominant formulas, it found that the dominant is greater than or equal to the permanent and the bideterminant formulas.

Collaboration network of the authors

15 authors · 22 co-authorship links

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  • Sebelas Maret University
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
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Co-authorOrganisationJoint articles
Nughthoh Arfawi KurdhiSebelas Maret University2
Chessa Fanny EkasiwiSebelas Maret University2
Ririn SetiyowatiSebelas Maret University1
Zahra Febrilia RachmawatiSebelas Maret University1
Sutrima SutrimaSebelas Maret University1
Putri WulandariSebelas Maret University1
Siswanto SiswantoSebelas Maret University1
Zakia Nur Ramadhani PutriSebelas Maret University1
Ika Nur FitrianiSebelas Maret University1
Bayu PurboutomoSebelas Maret University1
Santoso Budi WiyonoSebelas Maret University1
Riko FajarudinSebelas Maret University1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA</dc:title>
	<dc:creator>Septiany, Ade Safira</dc:creator>
	<dc:creator>Siswanto, Siswanto</dc:creator>
	<dc:creator>Kurniawan, Vika Yugi</dc:creator>
	<dc:description xml:lang="en-US">A min-plus algebra is a set  , where  &amp;nbsp;is the set of all real numbers equipped with two binary operations, namely minimum  &amp;nbsp;and addition  . Every square matrix in min-plus algebra can always be calculated as a permanent and dominant matrix. The min-plus algebra can be extended to an interval min-plus algebra, where the elements are closed intervals denoted  &amp;nbsp;with two binary operations, minimum  &amp;nbsp;and addition  . Min-plus interval algebra can be defined in a square matrix. This research will discuss the permanent and dominant a matrix over min-plus interval algebra, the relationship between permanent and dominant matrix, and bideterminant matrix over min-plus interval algebra. From the research results obtained, permanent and dominant formulas, it found that the dominant is greater than or equal to the permanent and the bideterminant formulas.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2024-08-02</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12967</dc:identifier>
	<dc:identifier>10.30598/barekengvol18iss3pp2029-2034</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application; 2029-2034</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol18iss3year2024</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12967/8592</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2024 Ade Safira Septiany, Siswanto Siswanto, Vika Yugi Kurniawan</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>